Then each positive zero
of [mathematical expression not reproducible] is increasing (decreasing) on ([alpha]1, [[alpha].sub.2]) depending on whether (2.8) is increasing (decreasing) on [0, a].
In fact, we also obtain the existence of positive zero
points for system (41).
According to Lemma 3.1, the function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] has only one real positive zero
point as [H.sub.k] = 2c/n [(c(k - 2)/k - n).sup.k-2/2] while it has only two distinct real positive zero
points for [H.sub.k] > 2c/n [(c(k - 2)/k - n).sup.k-2/2].
The piece, titled Positive Zero
, turned out to be the worst failure of Ulay's and my careers.
The company announces that it neither expects growth nor drop in production but that it will stay at a positive zero
It is also true that citizens, for seven months now, travel without visas and that Macedonia is still on a positive zero
in conditions of a difficult eco-nomic crisis.
One of the biggest exporters Makstil closed 2009 with a positive zero
. Makpetrol had a loss of 4.5 million euros and Zito Luks's loss peaked at 1.6 million euros.
In the polynomial [p.sub.1](x) = [[mu].sub.1][[mu].sub.2.sup.2][x.sup.4] - 2[K.sub.2][[mu].sub.1][[mu].sub.2][x.sup.2] + x + [[mu].sub.1][K.sub.2.sup.2] - [K.sub.1]' (which is defined by the left hand side of equation 1.5) there are sign changes among the coefficients [[mu].sub.1][[mu].sub.2.sup.2], -2[K.sub.2][[mu].sub.1][[mu].sub.2], 1 and ([[mu].sub.1][K.sub.2.sup.2] - [K.sub.1]); therefore, by Descartes' rule of signs, there are either three positive zeroes
or there is one positive zero
for the polynomial.
The finer fuzzy domains are introduced and new fuzzy partitions are used: big negative (BN), small negative (SN), negative zero (NZ), zero (Z), and positive zero
(PZ), small positive (SP), big positive (BP).
Hypotheses Merger Announcement Merger Termination Returns Announcement Returns Target Target Rival Target Market Power Positive Positive Negative Signaling Version 1 Positive Positive Zero
Version 2 Positive Positive Negative Version 3 Positive Positive Negative Competitive Positive Negative Negative Advantage Hypotheses Combined Announcement Returns Target Rival Target Target Rival Market Power Negative Zero Zero Signaling Version 1 Zero Positive Positive Version 2 Positive Zero
Positive Version 3 Negative Zero Zero Competitive Positive Zero
Thus, there is exactly one positive zero
, denoted by r.
where [[omega].sub.n] is the volume of the unit ball in [R.sup.n] and [j.sub.v] is the first positive zero
of the Bessel function [J.sub.v] of order v.